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Finding the Fourth Proportional to 346.45, 518.76 and 254.11

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Solution

The fourth proportional to 346.45, 518.76 and 254.11 is: 380.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.45 : 518.76 = 254.11 : x
  2. Step 2: Convert to fraction form
    346.45/518.76 = 254.11/x
  3. Step 3: Cross multiply
    346.45x = 518.76 × 254.11
  4. Step 4: Simplify right side
    346.45x = 131,822.10
  5. Step 5: Solve for x
    x = 131,822.10/346.45
  6. Step 6: Final answer
    x = 380.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.